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Finding the Fourth Proportional to 977.12, 1,464.36 and 360.24

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Solution

The fourth proportional to 977.12, 1,464.36 and 360.24 is: 539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.12 : 1,464.36 = 360.24 : x
  2. Step 2: Convert to fraction form
    977.12/1,464.36 = 360.24/x
  3. Step 3: Cross multiply
    977.12x = 1,464.36 × 360.24
  4. Step 4: Simplify right side
    977.12x = 527,521.05
  5. Step 5: Solve for x
    x = 527,521.05/977.12
  6. Step 6: Final answer
    x = 539.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.